Not using the geometric product is sort of like working as a chef but not allowing yourself any knives with blades between 3 inches – 15 inches long. Only a par

Not using the geometric product is sort of like working as a chef but not allowing yourself any knives with blades between 3 inches – 15 inches long. Only a paring knife, a hatchet, and a machete. Yes, it is possible to accomplish everything you wanted using a confusing mishmash of other abstractions (the raw numerical data turns out basically the same), but it’s really really inconvenient in comparison. > it has no geometric interpretation This is ridiculous. The geometric product is thoroughly “geometrical”. A more accurate translation of your sentence is “I ajkjk have not personally thought enough about it to visualize a multivector”.